https://doi.org/10.1007/s100510170346
Transition from Abelian to non-Abelian FQHE states
1
Departamento de Física, Universidad Nacional de la Plata,
CC 67, 1900 La Plata, Argentina
2
Facultad de Ingeniería, Universidad Nacional de Lomas de Zamora, Cno.
de Cintura y Juan XXIII, 1832 Lomas de Zamora, Argentina
3
Centro Atómico Bariloche, 8400 SC de Bariloche, Río
Negro, Argentina
Corresponding author: a rossini@venus.fisica.unlp.edu.ar
Received:
12
September
2000
Published online: 15 January 2001
We study the transition from the Abelian multi-component (3,3,1) quantum Hall state to the non-Abelian one component Pfaffian state in bilayer two dimensional electron systems. We show that tunneling between layers can induce this transition. At the transition points part of the degrees of freedom that describe the (3,3,1) state disappear from the spectrum, and the system is correctly described by the Pfaffian state, with quasi-particles that satisfy non-Abelian statistics. The mechanism described in this work provides for a physical Hamiltonian interpretation of the algebraic projection from the (3,3,1) to the Pfaffian state that has been discussed in the literature.
PACS: 73.40.Hm – Quantum Hall effect (integer and fractional)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
